Fidanza, Stéphane (2003) On supersymmetric background B-field in string theory. PhD thesis CPHT, EP - CPHT Centre de Physique Théorique, EP/X p.160.
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Abstract
The guideline of this thesis has been to understand the role of the antisymmetric background B-field in string theory. As a natural companion of the curvature g, it is indeed one of the most promising leads in many of recent developments, to which I hope this work will honourably contribute.
The first chapter is dedicated to the study of the Seiberg-Witten map, by which ordinary branes in a non trivial B-field are linked to non commutative branes. Searching an explicit expression of it in the gauge sector leads to a better understanding of its meaning. Beyond describing the couplings of D-branes to non trivial background fields, this would allow a new insight on their non abelian dynamics, through Morita equivalence.
This non abelian dynamics is also the aim of chapter 2, this time in the context of M-theory. There I try to describe the field content of non-abelian M5 branes, by different methods including supersymmetry and non-abelian 2-forms. Some geometrical aspects may also help to reproduce the expected N^3 anomaly.
Finally SU(3)-manifolds are relevant for compactification when a non trivial B-field is turned on. Mirror symmetry, defined on less general Calabi-Yau manifolds, can then be extended as T-duality on T^3-fibered SU(3)-manifolds, in the spirit of the Strominger-Yau-Zaslow conjecture. Its geometrical description involve mixings of the components of the intrinsic torsion with those of the curvature H=dB, as detailed in chapter 3.
| Item Type: | PhD Thesis (PhD) |
|---|---|
| Thesis Supervisor: | Minasian, Ruben |
| Date: | November 2003 |
| Board of examiners: | Bachas, Costas and Jurco, Branislav and Kiritsis, Elias and Waldram, Daniel and Windey, Paul |
| Ecole Doctorale: | ED 447 ECOLE DOCTORALE DE L'ECOLE POLYTECHNIQUE |
| Discipline: | CPHT |
| Collection (Fonds): | EP/X |
| Institution: | EP/X |
| Department: | EP - CPHT Centre de Physique Théorique |
| Subjects: | 3. Physics, Optics |
| Uncontrolled Keywords: | Non-commutative gauge theories, Seiberg-Witten map, Non-abelian 2-form gauge theory, non-abelian M5-branes, mirror symmetry on SU(3) manifolds, Théories de jauge non-commutatives, transformation de Seiberg-Witten, Théories de jauge à connexion tensorielle, M5-branes non-abéliennes, Symétrie-miroir, variétés à structure SU(3) |
Table of content
Introduction
1 D-branes non-commutatives
1.1 Les théories de jauge
1.2 La transformation de Seiberg-Witten (1)
1.3 Le star-produit
1.4 La transformation de Seiberg-Witten (2)
1.5 Les différentes approches
1.6 Le calcul récursif
1.7 L'approche algébrique
1.8 Et les théories non-abéliennes ?
2. M5-branes non-abéliennes
2.1 Les multiplets supersymétriques
2.2 Théories de jauge non-abéliennes de 2-formes
2.3 L'approche géométrique
3. Généraliser la symétrie-miroir
3.1 Variétés de Calabi-Yau
3.2 Variétés à structure SU(3)
3.3 Calculs explicites pour une fibration toroïdale
3.4 Le spineur invariant
Conclusion
| ID Code: | 709 |
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| Deposited By: | Nadine Garnier |
| Deposited On: | 13 May 2004 |
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